Ammann Tilings in Symplectic Geometry

In this article we study Ammann tilings from the perspective of symplectic geometry. Ammann tilings are nonperiodic tilings that are related to quasicrystals with icosahedral symmetry. We associate to each Ammann tiling two explicitly constructed highly singular symplectic spaces and we show that th...

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Bibliographic Details
Main Authors: Fiammetta Battaglia, Elisa Prato
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2013-03-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2013.021